Pith Number

pith:XD6CN4UE

pith:2013:XD6CN4UE43DFVWMWVSGQLBMUPT

not attested not anchored not stored refs pending

On the Stable Numerical Approximation of Two-Phase Flow with Insoluble Surfactant

Harald Garcke, John W. Barrett, Robert N\"urnberg

arxiv:1311.4432 v1 · 2013-11-18 · math.NA · physics.comp-ph · physics.flu-dyn

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XD6CN4UE43DFVWMWVSGQLBMUPT}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:59:58.889118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8fc26f284e6c65ad996ac8d0585947cfca774cb4027a68877c35dce5962cb06

Aliases

arxiv: 1311.4432 · arxiv_version: 1311.4432v1 · doi: 10.48550/arxiv.1311.4432 · pith_short_12: XD6CN4UE43DF · pith_short_16: XD6CN4UE43DFVWMW · pith_short_8: XD6CN4UE

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XD6CN4UE43DFVWMWVSGQLBMUPT \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b8fc26f284e6c65ad996ac8d0585947cfca774cb4027a68877c35dce5962cb06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d3ba1856742b8a8b3e1916f2160ae8ca0eca7bd95074081d44f95347be74def",
    "cross_cats_sorted": [
      "physics.comp-ph",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-11-18T16:08:58Z",
    "title_canon_sha256": "de9a34063695850d42825d4435eded9fe2069940a5ac0812ad4d9a9c33d5cb5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4432",
    "kind": "arxiv",
    "version": 1
  }
}